American English pronunciation

As a non-native English Speaker, I’m studying connected speech and how words link in American English. However, I’ve got a little bit confused.
My American English Accent book explains that we must link consonants sounds to vowels sounds.
One example is: "Well, it’s not working out between us."
The book only links the words "working" and "out". However, following the consonant sounds + vowel sounds rule, I would link the words "between" and "us", since according to the Cambridge dictionary their IPA transcription are respectively "/bɪˈtwiːn/" and "/ʌs/ or /əs/", in US English.
Should it be a typo or is there any special rule or exception for not linking them?